Question

Explain how you can convert a decimal that terminates after three decimal places to a fraction.​

Answer 1

Answer:

First, let's just pick an arbitrary number as an example 7.031.

the 1 is in the thousandth place, so we can represent this as $7\frac{31}{1000}$.

This is so because determining what denominator of a decimal number is can be known through what non-zero digits is on the right-most side of the number.

Step-by-step explanation:

Answer 2

Answer:

The third digit after a decimal point is in the "thousandth" place.

Therefore, to convert a decimal that terminates after three decimal places to a fraction, simply write the digits (without leading zeros) as the numerator and 1000 as the denominator.

For example:

$12.345=\dfrac{12345}{1000}$

$0.932=\dfrac{932}{1000}$